Obviously there are infinite equivalent choices of tetrads satisfying the relation REF ,, up to a local Lorentz transformation.
Here we consider the uniformly rotation case which means the linear velocity is \(\vec{v}=\vec{\omega }\times \vec{x}\) ,
where \(\vec{\omega }\) , the angular velocity, is a constant. For such a globally rotating system the boundary condition is necessary because of the light-speed limit. As the sharp cut boundary will only result in a discrete set of radial wave function thus import no structural changes to the following formalism, we will not do this discussion explicitly in this work and keep the summation over \(k_t\)  as integration. We should keep in mind for different boundary condition this will be discretized into different series.
And realistically in the QGP the rotation areas or volumes are so small that the light-speed limit problem is far from important[1]}.
